Nuprl Lemma : simple-comb-1-es-sv

[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[F:A ─→ B]. ∀[X:EClass(A)].
  es-sv-class(es;lifting-1(F)|X|) supposing es-sv-class(es;X)


Proof




Definitions occuring in Statement :  simple-comb-1: F|X| es-sv-class: es-sv-class(es;X) eclass: EClass(A[eo; e]) event-ordering+: EO+(Info) uimplies: supposing a uall: [x:A]. B[x] function: x:A ─→ B[x] universe: Type lifting-1: lifting-1(f)
Lemmas :  bag-size_wf nat_wf es-E_wf event-ordering+_subtype less_than_wf simple-comb-1_wf lifting-1_wf eclass_wf event-ordering+_wf es-sv-class_wf bag-size-zero le_weakening bag_combine_empty_lemma bag_size_empty_lemma false_wf bag-size-one bag-combine-single-left single-bag_wf bag-only_wf2 single-valued-bag-if-le1 decidable__lt le_antisymmetry_iff add_functionality_wrt_le add-zero le-add-cancel bag_size_single_lemma

Latex:
\mforall{}[Info:Type].  \mforall{}[es:EO+(Info)].  \mforall{}[A,B:Type].  \mforall{}[F:A  {}\mrightarrow{}  B].  \mforall{}[X:EClass(A)].
    es-sv-class(es;lifting-1(F)|X|)  supposing  es-sv-class(es;X)



Date html generated: 2015_07_22-PM-00_16_14
Last ObjectModification: 2015_01_28-AM-10_43_51

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